Well, I have done some more digging around on the internet and found a bit of information, but nothing that leads me to find the holy grail for my setup. It seems that I have 2 options: 1) heat a to the temperature I want b to be heated up to and then keep a constant there until b reaches the same temperature 2) heat b to a higher temperature than I want b to be at and then let it cool down while b heats up with the heat given off by a until eventually both reach the same temperature For whatever reason (maybe the wrong one) I think that the second approach will be faster than the first, but also a lot harder to do without some magic formula to get some ball park values to play with. I am willing to experiment, as this should be quite fun to do just like physics class in high school (I never got to go to college). But before I embark on a fun filled Saturday, are there any other ways to do this (better or worse)? Thanks. -Mario -----Original Message----- From: piclist-bounces@mit.edu [mailto:piclist-bounces@mit.edu] On Behalf Of Olin Lathrop Sent: Wednesday, January 11, 2006 5:38 PM To: Microcontroller discussion list - Public. Subject: Re: [OT] Need help with some thermodynamics concepts (or source of it) Mario Mendes Jr. wrote: > But, what I am trying to find out is the rate of change for a if b is > at 15 and it needs to be at 30 in 30 minutes. So b will need to heat > up at 0.5 degree per minute, but what is the rate of change for a in > order to accomplish this? That depends on the thermal insulation between A and B. This will be hard to calculate up front. At best you can get a ballpark idea. The only real way to determine this is to build it and measure the result. The flow and amount of agitation in both liquids will also have a lot to do with it. ****************************************************************** Embed Inc, Littleton Massachusetts, (978) 742-9014. #1 PIC consultant in 2004 program year. http://www.embedinc.com/products -- http://www.piclist.com PIC/SX FAQ & list archive View/change your membership options at http://mailman.mit.edu/mailman/listinfo/piclist -- http://www.piclist.com PIC/SX FAQ & list archive View/change your membership options at http://mailman.mit.edu/mailman/listinfo/piclist